He initial value is 32,000 and the value after 13 yrs is 8133.97
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need to find an expression which is equivalent to the given expression.
Combine like terms.
The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression
Using distributive property, we get
Combined liker terms.
It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Answer:
52.5
Step-by-step explanation:
7.50 x 7
